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Finding the Fourth Proportional to 308.01, 425.22 and 213.62

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Solution

The fourth proportional to 308.01, 425.22 and 213.62 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.01 : 425.22 = 213.62 : x
  2. Step 2: Convert to fraction form
    308.01/425.22 = 213.62/x
  3. Step 3: Cross multiply
    308.01x = 425.22 × 213.62
  4. Step 4: Simplify right side
    308.01x = 90,833.37
  5. Step 5: Solve for x
    x = 90,833.37/308.01
  6. Step 6: Final answer
    x = 294.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.